18x2 -13x +2 = 0

ax2 bx c = 0

a = 18

b = -13

c = 2

Δ = b2-4ac

Δ = -13² - (4 * 18 * 2)

Δ = 169 - (4*36)

Δ = 169 - (144)

Δ = 25      Δ > 0

18x2-13x+2=0

x = -b ∓ √Δ 2a

x' = 13 - √25 2*18 = 13 - 5.0 36 = 8.0 36 = 0.222222222222

x" = 13 + √25 2*18 = 13 + 5.0 36 = 18.0 36 = 0.5

x' = 72.0

x" = 162.0

S = {x ∈ R / x' = 72.0, x" = 162.0 }